Search a number
-
+
20122121213303 = 238393809112363
BaseRepresentation
bin1001001001101000010111…
…11000110001010101110111
32122020122201020001220202212
410210310023320301111313
510114140101012311203
6110443550323324035
74144526631142424
oct444641370612567
978218636056685
1020122121213303
11645881a92a0aa
12230b97582061b
13b2c67aaa56b5
144d7cb71b2d4b
1524d6511941d8
hex124d0be31577

20122121213303 has 16 divisors (see below), whose sum is σ = 21250387549440. Its totient is φ = 19014979910784.

The previous prime is 20122121213291. The next prime is 20122121213377. The reversal of 20122121213303 is 30331212122102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20122121213303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122121213003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179025200 + ... + 179137562.

It is an arithmetic number, because the mean of its divisors is an integer number (1328149221840).

Almost surely, 220122121213303 is an apocalyptic number.

20122121213303 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

20122121213303 is a deficient number, since it is larger than the sum of its proper divisors (1128266336137).

20122121213303 is a wasteful number, since it uses less digits than its factorization.

20122121213303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206278.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20122121213303 its reverse (30331212122102), we get a palindrome (50453333335405).

The spelling of 20122121213303 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred three".

Divisors: 1 23 83 1909 93809 112363 2157607 2584349 7786147 9326129 179081381 214500967 10540660667 242435195341 874874835361 20122121213303